URL Rewrite and Archive Template Files – Post Type vs. Taxonomy

I handled this with a pre_get_posts hook (thanks, @Milo), passing in the URL part that corresponds to the slug I need. Hope this helps someone down the road. Improvements are welcome. Thanks.

function filter_team_news_archives_by_sport_taxonomy($query) {

    if (is_post_type_archive('team-news') && $query->is_main_query()){

            // Get $sport_slug from URL  --  https://stackoverflow.com/a/36002190/4107296
            $url = (isset($_SERVER['HTTPS']) ? "https" : "http") . "://$_SERVER[HTTP_HOST]$_SERVER[REQUEST_URI]";
            $parsed = parse_url( $url );
            $chunks = explode( "https://wordpress.stackexchange.com/", trim($parsed['path'],"https://wordpress.stackexchange.com/") );
            // if the URL is in this format: /athletics/team/[sport-slug]/news 
            if ($chunks[0] === 'athletics' && $chunks[1] === 'team' && $chunks[3] === 'news') {
                $sport_slug = $chunks[2];
                $query->set('tax_query', array(array(
                    'taxonomy' => 'sport',
                    'field'    => 'slug',
                    'terms'    => $sport_slug,
                )));
            }
    }
}

add_action('pre_get_posts', 'filter_team_news_archives_by_sport_taxonomy');